A117869 Partial sums of floor(e^n).

1, 3, 10, 30, 84, 232, 635, 1731, 4711, 12814, 34840, 94714, 257468, 699881, 1902485, 5171502, 14057612, 38212564, 103872533, 282354833, 767520028, 2086335762, 5671248608, 15416052054, 41905174183, 113910073520, 309639682948

Offset

0,2

Comments

Primes in the sequence include a(1) = 3, a(19) = 282354833, no more through a(100) = 42525387036892760775526906833352845657512183.

The next prime in the sequence is a(1009) which has 438 digits. The one after that is a(3498) which has 1519 digits. [From Harvey P. Dale, Jul 18 2011]

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = SUM[i=0..n] A000149(i). a(n) = SUM[i=0..n] floor(e^i).

Mathematica

Accumulate[Floor[E^Range[0, 4000]]] (* Harvey P. Dale, Jul 18 2011 *)

Crossrefs

Cf. A000149.

Sequence in context: A332360 A115515 A280523 * A092756 A027205 A026937

Adjacent sequences: A117866 A117867 A117868 * A117870 A117871 A117872

Keyword

easy,nonn

Author

Jonathan Vos Post, May 02 2006

Status

approved